Processing math: 100%


Vieta Theorem

Vieta Theorem
This exercise includes 13 intermediate level Vieta Theorem related problems. For example:

(3325) Let x1 and x2 be two real roots of x2x1=0. Find the value of 2x51+5x32.

(3327) Let α and β be two real roots of x4+k=3x2 and also satisfy α+β=2. Find the value of k.

(3320) Find one real solution (a,b,c,d) to the following system:{a+b+c+d=2ab+ac+ad+bc+bd+cd=3abc+abd+acd+bcd=4abcd=3

Many of these problems come from actual competitions.
       Payment is required to access this item.Price:  $6.99. We recommend you to log-in or register an account for easy access later.